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Showing 1-20 of 1,247 results
  1. Temperature Distribution in Living Tissue with Two-Dimensional Parabolic Bioheat Model Using Radial Basis Function

    This study concerns the numerical modeling and simulation of heat distribution inside the skin tissue for cancer treatment with external exponential...
    Conference paper 2022
  2. Numerical Modeling of the Spatiotemporal Distribution of a Drug Agent in a Biological Tissue

    Abstract

    A mathematical model of the pharmacokinetics of anticancer drugs, which presents a biological tissue as a randomly inhomogeneous medium, is...

    A. F. Ginevsky, D. A. Ginevsky, P. V. Izhevsky in Mathematical Models and Computer Simulations
    Article 28 May 2022
  3. Pattern Formation Inside Living Cells

    While most of our tissues appear static, in fact, cell motion comprises an important facet of all life forms, whether in single or multicellular...
    Conference paper Open access 2022
  4. Stochastic differential equation modelling of cancer cell migration and tissue invasion

    Invasion of the surrounding tissue is a key aspect of cancer growth and spread involving a coordinated effort between cell migration and matrix...

    Dimitrios Katsaounis, Mark A. J. Chaplain, Nikolaos Sfakianakis in Journal of Mathematical Biology
    Article Open access 15 June 2023
  5. Steady and unsteady analytical solutions of three-dimensional heat transfer in a multi-layer and porous skin tissue

    Although many models have been derived for heat transfer in the skin, analytical solutions for heat transfer provide more reliable results than...

    Mohamad Hasan Malekmohamadi, Hossein Ahmadikia, Mehdi Mosharraf-Dehkordi in Journal of Engineering Mathematics
    Article 16 August 2021
  6. Analytical and numerical temperature distribution in a 3-D triple-layer skin tissue subjected to a multi-point laser beam

    In the present study, the temporal and spatial variation of temperature in a three-dimensional triple-layer skin tissue under the laser heating is...

    Babak Partovi, Hossein Ahmadikia, Mehdi Mosharaf-Dehkordi in Journal of Engineering Mathematics
    Article 09 November 2021
  7. A Topological and Dynamical Approach to the Study of Complex Living Systems

    Traditionally one has addressed biological phenomena by analytical and/or statistical tools with the goal to give average laws of the competition...
    Luciano Boi in Complexity and Emergence
    Conference paper 2022
  8. Adaptive Filtering of Distributed Data Based on Modeling the Perception Mechanisms of Living Sensory Systems

    The article is devoted to the results of the adaptive filtering synthesis in the frames of neuromorphic model inspired by biological sensory system....
    Viacheslav E. Antsiperov in Mathematical Modeling in Physical Sciences
    Conference paper 2024
  9. Derivation of a new macroscopic bidomain model including three scales for the electrical activity of cardiac tissue

    In the present paper, a new three-scale asymptotic homogenization method is proposed to study the electrical behavior of the cardiac tissue structure...

    Fakhrielddine Bader, Mostafa Bendahmane, ... Raafat Talhouk in Journal of Engineering Mathematics
    Article 11 October 2021
  10. Modelling Oscillating Living Systems: Cell Energy Metabolism as Weighted Networks of Nonautonomous Oscillators

    Oscillations are a common feature throughout life, forming a key mechanism by which living systems can regulate their internal processes and exchange...
    Joe Rowland Adams, Aneta Stefanovska in 2019-20 MATRIX Annals
    Chapter 2021
  11. On a Two-Dimensional Boundary-Value Stefan-Type Problem Arising in Cryosurgery

    In this paper, we present the formulation and a method for solving the problem of freezing living biological tissue with a flat circular...

    Article 25 January 2022
  12. Models of Cell Motion and Tissue Growth

    The mathematical description of cell movement, from the individual scale to the collective motion, is a rich and complex domain of biomathematics...
    Benoît Perthame in The Mathematics of Mechanobiology
    Chapter 2020
  13. Visualization of 14C-labeled Gas Fixation in a Plant—Development of Real-Time Radioisotope Imaging

    The development of a real-time radioisotope imaging system was summarized. The first stage was just imaging the 32P-labeled phosphate taken up by the...
    Conference paper 2023
  14. Multiphase Models for Moving Boundary Problems in Biology

    We address the modelling of tissue deformation using mixture theory. The governing equations consist of mass and momentum balances for two phases,...
    Ishraq U. Ahmed, Jennifer A. Flegg, ... Adriana Zanca in 2021-2022 MATRIX Annals
    Chapter 2024
  15. Mathematical Modeling and Simulation of Laser-Induced Thermotherapy for the Treatment of Liver Tumors

    Laser-induced thermotherapy (LITT) plays an important role in oncology to treat human liver tumors. LITT is an alternative method which is used when...
    Sebastian Blauth, Frank Hübner, ... Thomas J. Vogl in Modeling, Simulation and Optimization in the Health- and Energy-Sector
    Conference paper 2022
  16. Thermogram-based estimation of foot arterial blood flow using neural networks

    The altered blood flow in the foot is an important indicator of early diabetic foot complications. However, it is challenging to measure the blood...

    Yue** Wang, Lizhong Mu, Ying He in Applied Mathematics and Mechanics
    Article 23 January 2023
  17. Happiness Is a Warm Theorem

    Doctor: It’s okay, Craig. You can talk freely here. If you want to cry, you can cry. Craig: I’m sorry, Doctor. It’s just so overwhelming, sometimes....
    Chapter 2023
  18. Percolation Theory, Ecology, Hydrology, and Geochemistry

    Three important scientific fields are ecology, hydrology, and geochemistry. In ecology one studies the relationships between living organisms,...
    Chapter 2023
  19. Recapitulating Functional Heterogeneity in Electrophysiologically Active Tissues

    Inter-cellular heterogeneity is central to the dynamic range and robustness of function in many tissues, particularly electrically excitable tissues....
    Meye Bloothooft, Joseph G Shuttleworth, ... Andrew G Edwards in Computational Physiology
    Chapter Open access 2023
  20. Wiener–Hopf technique for a fractional mixed boundary value problem in cylindrical layer

    In this paper, we study the heat transfer modeling during freezing of a biological tissue and present an analytical approach for solving the heat...

    Alireza Ansari, Mohammad Rasool Masomi in Arabian Journal of Mathematics
    Article Open access 07 July 2023
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